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14427560 = 2357217433
BaseRepresentation
bin110111000010…
…010110101000
31000010222220002
4313002112220
512143140220
61233122132
7233426600
oct67022650
930128802
1014427560
118164704
1249b9348
132cb1c24
141cb7c00
1513eec75
hexdc25a8

14427560 has 96 divisors (see below), whose sum is σ = 40075560. Its totient is φ = 4644864.

The previous prime is 14427557. The next prime is 14427563. The reversal of 14427560 is 6572441.

It is an interprime number because it is at equal distance from previous prime (14427557) and next prime (14427563).

It can be written as a sum of positive squares in 4 ways, for example, as 10640644 + 3786916 = 3262^2 + 1946^2 .

It is not an unprimeable number, because it can be changed into a prime (14427563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33104 + ... + 33536.

Almost surely, 214427560 is an apocalyptic number.

14427560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14427560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20037780).

14427560 is an abundant number, since it is smaller than the sum of its proper divisors (25648000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14427560 is a wasteful number, since it uses less digits than its factorization.

14427560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 14427560 is about 3798.3628052096. The cubic root of 14427560 is about 243.4431896949.

The spelling of 14427560 in words is "fourteen million, four hundred twenty-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 392 433 476 490 595 680 833 866 952 980 1190 1666 1732 1960 2165 2380 3031 3332 3464 4165 4330 4760 6062 6664 7361 8330 8660 12124 14722 15155 16660 17320 21217 24248 29444 30310 33320 36805 42434 51527 58888 60620 73610 84868 103054 106085 121240 147220 169736 206108 212170 257635 294440 360689 412216 424340 515270 721378 848680 1030540 1442756 1803445 2061080 2885512 3606890 7213780 14427560